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Finding the Fourth Proportional to 2,198.96, 3,294.30 and 1,709.63

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Solution

The fourth proportional to 2,198.96, 3,294.30 and 1,709.63 is: 2,561.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.96 : 3,294.30 = 1,709.63 : x
  2. Step 2: Convert to fraction form
    2,198.96/3,294.30 = 1,709.63/x
  3. Step 3: Cross multiply
    2,198.96x = 3,294.30 × 1,709.63
  4. Step 4: Simplify right side
    2,198.96x = 5,632,034.11
  5. Step 5: Solve for x
    x = 5,632,034.11/2,198.96
  6. Step 6: Final answer
    x = 2,561.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.